Fissioning nuclei produce with increasing excitation varying yields of frag
ments. For compound nuclei ranging from Th-232 to Pu-242 endowed with excit
ation energies typically between 0 and 10 MeV, we analyze these variations
in terms of a fission-channel model. Most of the variations can be attribut
ed to changing channel probabilities. We present a systematics of channel p
robabilities with respect to compound nuclei and their excitation energies,
and we relate the systematics to potential energy which the nuclei experie
nce when they float to scission. The trend, which is most difficult to expl
ain, is a shift in the energy sensitivity of the standard channels, as one
compares light with heavy compound nuclei. According to their behavior, we
divide nuclei into standard I increasers and decreasers and attribute the d
ifference to the standard secondary barriers. As a basic concept, bifurcati
on ratios are introduced, and a novel expression for transmission coefficie
nts is proposed. [S0556-2813(99)05402-3].